Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
The authors consider the time-harmonic Maxwell equations in the presence of finitely many interior inhomogeneities of small diameter. They develop a rigorous asymptotic analysis of the leading-order perturbations of the boundary magnetic fields. This extends results by \textit{M. S. Vogelius} and \textit{D. Volkov} [M2AN, Math. Model. Numer. Anal. 34, 723--748 (2000; Zbl 0971.78004)], where only solutions with TE and TM symmetries were considered. The asymptotic formulas are expected to lead to efficient identification algorithms for determining an object from electromagnetic boundary measurements.
scientific article; zbMATH DE number 1770846